A $1$-cohomologically hyperbolic birational map of $\mathbb{P}^3$, with a transcendental arithmetic degree
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911143252983808 |
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| author | Sugimoto, Yutaro |
| author_facet | Sugimoto, Yutaro |
| contents | We construct a $1$-cohomologically hyperbolic birational map of $\mathbb{P}^3$, with transcendental first dynamical degree. The arithmetic degree of this map at a $\overline{\mathbb{Q}}$-point is transcendental. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09821 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A $1$-cohomologically hyperbolic birational map of $\mathbb{P}^3$, with a transcendental arithmetic degree Sugimoto, Yutaro Algebraic Geometry 14E05, 32H50, 37F10 We construct a $1$-cohomologically hyperbolic birational map of $\mathbb{P}^3$, with transcendental first dynamical degree. The arithmetic degree of this map at a $\overline{\mathbb{Q}}$-point is transcendental. |
| title | A $1$-cohomologically hyperbolic birational map of $\mathbb{P}^3$, with a transcendental arithmetic degree |
| topic | Algebraic Geometry 14E05, 32H50, 37F10 |
| url | https://arxiv.org/abs/2401.09821 |